Tuesday, August 13, 2013

I know what you did last summer…Trigonometric Proofs

To prove a trigonometric identity you have to show that one side of the equation can be transformed into the other side of the equation.  This usually requires turning everything into sines and cosines, some algebraic manipulations (join fractions, expand, factor, etc.) and use of fundamental trigonometric identities.  Sounds familiar? Not really, it is very different than solving equations.   You have to work on one side at a time, so algebraic properties that work on both sides of the equation can’t be used.   Complicated? Yes… but the good news about proofs is that you always know where you are going…


…and the real good news is that we are now doing it for you!  Just say the magic word (Prove, not please), type in the trig identity, press Go, and wow, a step by step poof coming your way.

Let’s start with a few examples.  With time (and practice) you’ll learn the best tricks to use and the identities that are most helpful (the Pythagorean identity is a favorite)

Example expressing with sine and cosine, Join, Factor and Pythagorean identity (click here)




Example using fraction multiplication trick (click here)



Enjoy the rest of the summer!
Michal

85 comments:

  1. Is anybody managing this page? If so, I'd love to get some hep with proofs. I'd even be willing to pay for it ;-)

    ReplyDelete
    Replies
    1. IEEE Project Domain management in software engineering is distinct from traditional project deveopment in that software projects have a unique lifecycle process that requires multiple rounds of testing, updating, and faculty feedback. A IEEE Domain project Final Year Projects for CSE system development life cycle is essentially a phased project model that defines the organizational constraints of a large-scale systems project. The methods used in a IEEE DOmain Project systems development life cycle strategy Project Centers in Chennai For CSE provide clearly defined phases of work to plan, design, test, deploy, and maintain information systems.


      This is enough for me. I want to write software that anyone can use, and virtually everyone who has an internet connected device with a screen can use apps written in JavaScript. JavaScript Training in Chennai JavaScript was used for little more than mouse hover animations and little calculations to make static websites feel more interactive. Let’s assume 90% of all websites using JavaScript use it in a trivial way. That still leaves 150 million substantial JavaScript Training in Chennai JavaScript applications.

      Delete
  2. Hi, what kind of help you need?

    ReplyDelete
  3. How to prove any trigo identity?
    Some tips...

    ReplyDelete
  4. why does integrating sin(3x)cos(3x) dx by substitution give 2 different answers (sin^2(3x)/6) and (-cos^2(3x)/6) and apparently there is another solution using trig identities giving -1/12cos(6x) can you please explain why this is and how they all equal each other.

    ReplyDelete
  5. The article you have shared here very good. This is really interesting information for me. Thanks for sharing!
    webnovel

    ReplyDelete
  6. I know this post is old but is there a way to set the calculator so it only manipulates one particular side? For example, on some problems, the calculator will choose to manipulate the left, and the right in other situations. Is there a way to set it so it can only manipulate the left? thanks

    ReplyDelete
  7. On the hills and far away. One million miles from L.A. We will find the beginning of something new. Take me anywhere, take me anywhere. Wherever you go with you. Just have you and the game: happy wheels basketball legends game

    ReplyDelete
  8. I am Very inspiring to your Awesome Tropic and Valuable information.
    How can I know Is Project Free TV safe to use?

    ReplyDelete
  9. You need to check out some tips on how to write thesis paper you can see here. I think that you should do it as soon as possible

    ReplyDelete
  10. Goyal packers and movers in Panchkula is highly known for their professional and genuine packing and moving services. We are top leading and certified relocation services providers in Chandigarh deals all over India. To get more information, call us.

    Packers and movers in Chandigarh
    Packers and movers in Panchkula
    Packers and movers in Mohali
    Packers and movers in Zirakpur
    Packers and movers in Patiala
    Packers and movers in Ambala
    Packers and movers in Ambala cantt
    Packers and movers in Pathankot
    Packers and movers in Jalandhar
    Packers and movers in Ludhiana

    ReplyDelete
  11. Thanks for written a beautiful post! It was really good and informational post.
    Gurmeet Ram Rahim Singh Insan is the head of the Indian social group Dera Sacha Sauda.
    You can follow to Spiritual Saint
    Gurmeet Ram Rahim Singh Ji Insan on IMDB.

    ReplyDelete
  12. hello sir,
    thanks for giving that type of information. Really enjoyed this blog post. Really looking forward to reading more. Much obliged.
    digital marketing company in delhi

    ReplyDelete
  13. Alot of blogs I see these days don't really provide anything that I'm interested in, but I'm most definitely interested in this one. Just thought that I would post and let you know. Nice! thank you so much! Thank you for sharing.
    Website Development Company in Delhi
    Website Designing Company in Delhi
    Mobile App Development Company
    Mobile App Development Company in India

    ReplyDelete
  14. Very Informative! This blog is great source of information which is very useful for me. Thank you very much for sharing this! seo service in gurgaon

    ReplyDelete
  15. I feel happy about and learning more about this topic. keep sharing your information regularly for my future reference. This content creates a new hope and inspiration with in me. Thanks for sharing article like this. the information which you have provided is better then other blog.
    IELTS Coaching in Dwarka sector 7

    ReplyDelete
  16. Interesting information and attractive.This blog is really rocking... Yes, the post is very interesting and I really like it.I never seen articles like this. I meant it's so knowledgeable, informative, and good looking site. I appreciate your hard work. Good job.
    Kindly visit us @
    Sathya Online Shopping
    Buy AC Online | AC Online Shopping | AC Price | Buy Air Conditioner Online
    Inverter Split AC | Best Inverter AC | Split AC Price | Buy Split AC Online
    Smart LED TV | Smart TV Price | LED TV Online | Buy LED TV Online
    Laptop Online | Laptop Price | Buy Laptop Online | Best Laptop
    Buy HD LED TV
    Buy Ultra HD TV Online
    Buy Mobile Online | Buy Smartphone Online in India

    ReplyDelete
  17. Alleyaaircool is the one of the best home appliances repair canter in all over Delhi we deals in repairing window ac, Split ac , fridge , microwave, washing machine, water cooler, RO and more other home appliances in cheap rates

    Window AC Repair in vaishali
    Split AC Repair in indirapuram
    Fridge Repair in kaushambi
    Microwave Repair in patparganj
    Washing Machine Repair in vasundhara
    Water Cooler Repair in indirapuram
    RO Service AMC in vasundhara
    Any Cooling System in vaishali
    Window AC Repair in indirapuram

    ReplyDelete
  18. The article is very interesting and very understood to be read, may be useful for the people. I wanted to thank you for this great read!! I definitely enjoyed every little bit of it. I have to bookmarked to check out new stuff on your post. Thanks for sharing the information keep updating, looking forward for more posts..
    Kindly visit us @
    Madurai Travels
    Best Travels in Madurai
    Cabs in Madurai
    Tours and Travels in Madurai

    ReplyDelete
  19. Excellent Blog. I really want to admire the quality of this post. I like the way of your presentation of ideas, views and valuable content. No doubt you are doing great work. I’ll be waiting for your next post. Thanks .Keep it up!
    Kindly visit us @ Christmas Gift Boxes | Wallet Box | Perfume Box Manufacturer | Candle Packaging Boxes | Luxury Leather Box | Luxury Clothes Box | Luxury Cosmetics Box | Shoe Box Manufacturer | Luxury Watch Box

    ReplyDelete
  20. Wow, what an awesome spot to spend hours and hours! It's beautiful and I'm also surprised that you had it all to yourselves! we are the one of the best HIV treatment hospital in India..Click here for more details Best HIV Treatment in India | Top HIV Hospital in India | HIV AIDS Treatment in Mumbai | HIV Specialist in Bangalore | HIV Positive Treatment in India | Medicine for AIDS in India

    ReplyDelete
  21. We are leading mobile app development company in Mumbai, Navi Mumbai, India. We provide a wide range of Android & iOS app development services at a cost-effective price.
    Mobile app development company in mumbai

    ReplyDelete
  22. Excellent Post as always and you have a great post and i like it thank you for sharing

    โปรโมชั่นGclub ของทางทีมงานตอนนี้แจกฟรีโบนัส 50%
    เพียงแค่คุณสมัคร Gclub กับทางทีมงานของเราเพียงเท่านั้น
    ร่วมมาเป็นส่วนหนึ่งกับเว็บไซต์คาสิโนออนไลน์ของเราได้เลยค่ะ
    สมัครสล็อตออนไลน์ >>> goldenslot
    สนใจร่วมลงทุนกับเรา สมัครเอเย่น Gclub คลิ๊กได้เลย

    ReplyDelete
  23. I am really impressed with your post thank you for information

    เว็บไซต์คาสิโนออนไลน์ที่ได้คุณภาพอับดับ 1 ของประเทศ
    เป็นเว็บไซต์การพนันออนไลน์ที่มีคนมา สมัคร Gclub Royal1688
    และยังมีหวยให้คุณได้เล่น สมัครหวยออนไลน์ ได้เลย
    สมัครสมาชิกที่นี่ >>> Gclub Royal1688
    ร่วมลงทุนสมัครเอเย่นคาสิโนกับทีมงานของเราได้เลย

    ReplyDelete
  24. Nice blog, Ogen Infosystem provides best Website Development and Digital Marketing Services in Delhi. For more information visit the website.
    Digital Marketing Company in Delhi

    ReplyDelete
  25. Essay services are widespread on the web, offering custom written essays for students who are short on time, drowning in assignments, or just plain have too many responsibilities. And the best writing service in Uk is https://www.customessays.co.uk/essay_writing_service

    ReplyDelete
  26. Wow, amazing blog layout! How long have you been blogging for? you make blogging look easy. The overall look of your website is fantastic, let alone the content!

    3d animation Company
    Best Chatbot Development Company
    Mobile app development in Coimbatore

    ReplyDelete
  27. Usually I never comment on blogs but your article is so convincing that I never stop myself to say something about it. You’re doing a great job Man,Keep it up.
    Ireland Education Consultants In Delhi

    ReplyDelete
  28. Our best persuasive speeches services and fast essay writing service are meant to transform the academic profile of any student from a downward trend to an upward trend in their grades.

    ReplyDelete
  29. Our dissertation help services in USA and custom research paper writing in USA are meant to transform the academic profile of any student from a downward trend to an upward trend in their grades.

    ReplyDelete
  30. Thanks for sharing this post, it was great reading this article! would like to know more! keep in touch and stay connected! Also Check here
    Vidmate
    Vidmate Download
    Vidmate Apk
    Vidmate App

    ReplyDelete
  31. We are the best writing company providing Custom Research Paper Services to graduate and undergraduate students at reasonable rates. Our Custom Research Papers for Sale are reasonably priced to ensure that every student seeking to purchase a document can afford to get one from us.

    ReplyDelete
  32. Your search for Custom Research Paper Writing Services ends here. Welcome to the home of best essay writers who are qualified in diverse fields. Our
    Research Paper Writing Service
    is proof that we are right near you. It is easy, place your order and get original plagiarism free assignments. What’s more, we keep everything confidential.

    ReplyDelete
  33. それは単純な食料品の買い物旅行であることになっていました。私は食料雑貨品店に行ったとき、rottenhayato 私は数日分の食事を計画するのに十分な食物を購入するつもりで行きました、そして私は2つだけ食べましたとにかく一日の食事。私がこれまでに朝食用食品を購入したことがあるのであれば camjke

    ReplyDelete
  34. We are prepared to deliver reliable and trusted Write My Research Papers services in all the outlined levels of study due to the many experts that we have in our company. Our College Research Paper is affordable and cheap as well for students who have very limited cash flows, and their budgets are usually constrained.

    ReplyDelete
  35. Awesome blog, visit Mutualfundwala for Mutual Fund Agent and Mutual Funds India.
    Mutual Fund Distributor

    ReplyDelete
  36. Buy essays online from professionals and your articles, reports, and book reviews will always pay off with finest results after every submission. http://www.statementofpurposegraduateschool.com/ writing a statement of purpose for engineering management, MBA, computer science, mathematics and many more.

    ReplyDelete
  37. The first thing I look for is personalization. This is so easy, I really enjoyed this post. Check out this unrelated link. I wrote about the IELTS.
    IELTS Coaching in Dwarka
    IELTS Coaching in Dwarka

    ReplyDelete
  38. What's Happening i am new to this, I stumbled upon thi I have discovered It positively helpful and it has aided me oout loads. I am hoping to give a contriibution & aiid different customers like its ided me. Good job.

    Home Ground
    Home Land

    ReplyDelete
  39. fast social follower will help you buy the best social media services such as Buy spotify followers , More Followers On Spotify . At the best prices and all the real services , real follower , real likes etc .

    ReplyDelete
  40. Hey the Join, Factor and Pythagorean identity link is giving a not found error :( if you could help that would be great! :3

    ReplyDelete
  41. It is understandable that one is more confident when their task is in the hands of the Research Writing Help than a novice; thus, one hires Custom Dissertation Writing Service who delivers the ideal Custom Term Paper Writing.

    ReplyDelete
  42. Gunakan kesempatan emas bermain di wedeqq dan juga fifaqq. Jangan lupa untuk bergabung juga di taipanqq beserta kebanggan situs lipoqq yang dapat memberikan kemenangan yang mutlak.

    Lihat juga halaman terkait lainnya dibawah ini :
    jurusqq
    priaqq
    hokiqq
    dewaqq

    ReplyDelete
  43. Are you looking to buy the Best Custom Essay Paper from the best writers? When given assignments, many students look for Top-Ranked Essay Writing Service and through a basic web search, you can find many online companies offering help with Best Custom Essay Ever.

    ReplyDelete
  44. Our Academic Essay Writing Service is accessible online via a majority of mobile devices to bring Cheap Essay Writing Services For Sale close to you. Students can access Most Reliable Essay Writer Service from any location if they have a pertinent mobile device.

    ReplyDelete
  45. It is normal for students to be anxious about hiring an online professional Legitimate Custom Research Paper Services Provider because they can never be sure whether they can get high-quality affordable Custom Research Paper Services and the right Research Paper Assistance Services or not.

    ReplyDelete